Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The acceleration of an object is given by the equation $a(t)=t^{3}-2 t^{2}+12 \mathrm{m} / \mathrm{s}^{2} .$ Determine its velocity and position after $4 \mathrm{sec}-$ onds, assume $s(0)=3 m$ and $v(0)=9 m / s$.

(a) 78.33(b) 143.53

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 2

Applications of Antidifferentiation

Integrals

Missouri State University

Campbell University

Oregon State University

Boston College

Lectures

05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

00:20

The acceleration is given …

07:47

If $s=\frac{1}{2} t^{4}-5 …

00:41

The position of an object …

01:58

Give the acceleration $a=d…

01:42

02:23

Find the acceleration of a…

The solution, but the question is, is equal to minus four sine two. T v t is equal to two calls to T, and S T is equal to Scientific Ministry, so the position of the object at time T is given by SD understand so further given question.

View More Answers From This Book

Find Another Textbook

02:01

Find and classify, using the second partial derivative test, the critical po…

01:15

Evaluate the given definite integral.(a) $\int_{a}^{b} \frac{1}{x} d x$<…

01:02

Find $f(x)$.$$f^{\prime}(x)=3-2 / x+x^{2}, f(1)=5$$

02:17

$$\begin{aligned}&\text { If } f(x, y, z)=\ln \left(x^{2}+y^{2}+z^{2…

02:33

$$\text { If } f(x, y, z)=3 e^{2 x^{2} y^{3} z^{4}}, \text { find } f_{x}(-1…

01:01

Find $f(x)$.$$f^{\prime \prime}(x)=x-2, f^{\prime}(2)=1, f(1)=-1$$

02:20

Use the method of Lagrange multipliers to optimize $f$ as indicated, subject…

05:52

Determine the area of the region between the given curves.$$f(x)=2 x^{3}…

02:56

02:46